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Finding the Fourth Proportional to 528,852, 729,815.76 and 290,388

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Solution

The fourth proportional to 528,852, 729,815.76 and 290,388 is: 400,735.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,852 : 729,815.76 = 290,388 : x
  2. Step 2: Convert to fraction form
    528,852/729,815.76 = 290,388/x
  3. Step 3: Cross multiply
    528,852x = 729,815.76 × 290,388
  4. Step 4: Simplify right side
    528,852x = 211,929,738,914.88
  5. Step 5: Solve for x
    x = 211,929,738,914.88/528,852
  6. Step 6: Final answer
    x = 400,735.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.